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S2.2.13 Expanded Octet of Electrons (Higher Level Only)

Some Atoms Can Form Molecules with Expanded Octets

Imagine you're solving a puzzle, and one of the pieces unexpectedly has extra slots to connect more pieces than usual.

This is similar to what happens when certain atoms form molecules with expanded octetsβ€”where they hold more than the typical eight electrons in their valence shell.

Expanded Octets and Their Connection to the Periodic Table

Definition

Octet rule

Atoms are driven by their quest for stability, often achieved by attaining a noble gas electron configurationβ€”commonly referred to as the octet rule.

However, some elements in Period 3 and beyond (such as phosphorus, sulfur, and xenon) can exceed this limit. These atoms can accommodate more than eight electrons in their valence shell due to the availability of vacant d orbitals in addition to their s and p orbitals.

Why Only Period 3 and Beyond?

  1. Electron Configuration:
    • Atoms in Period 3 and beyond have a principal quantum number nβ‰₯3, which means they have d orbitals in their valence shell (e.g., 3d for Period 3 elements).
    • These d orbitals can participate in bonding, allowing the atom to hold more than eight electrons.
  2. Atomic Size:
    • Larger atoms, like sulfur and phosphorus, have more space in their valence shell to accommodate additional electrons, reducing electron-electron repulsion.

Note

Elements in Periods 1 and 2 cannot expand their octet because they lack d orbitals and have smaller atomic sizes, limiting their ability to accommodate extra electrons.

Visualizing Lewis Structures for Expanded Octets

To understand expanded octets, let’s explore how to draw Lewis structures for molecules where the central atom has more than four bonds (or electron domains).

Steps to Draw Lewis Structures for Expanded Octets:

  1. Count Valence Electrons: Add up the valence electrons of all atoms in the molecule. For ions, adjust for the charge (add electrons for negative charges or subtract for positive charges).
  2. Arrange Atoms: Place the least electronegative atom in the center.
  3. Distribute Electrons: Connect atoms with single bonds and distribute the remaining electrons as lone pairs to satisfy the octet rule for peripheral atoms.
  4. Expand the Octet: Place any leftover electrons on the central atom, allowing it to exceed eight electrons if it belongs to Period 3 or beyond.

Example

Phosphorus Pentafluoride (PFβ‚…)

Phosphorus, being in Period 3, can expand its octet.

  1. Count Valence Electrons: Phosphorus has 5 valence electrons, and each fluorine atom contributes 7. Total = 5+(7Γ—5)=40.
  2. Arrange Atoms: Place phosphorus in the center and bond it to five fluorine atoms.
  3. Distribute Electrons: Each P–F bond uses 2 electrons, leaving none unused. Phosphorus now has 10 electrons in its valence shell.

Example

Sulfur Hexafluoride (SF₆)

Sulfur, also in Period 3, can expand its octet to accommodate six bonds.

  1. Count Valence Electrons: Sulfur has 6 valence electrons, and each fluorine contributes 7. Total = 6+(7Γ—6)=48.
  2. Arrange Atoms: Place sulfur in the center and bond it to six fluorine atoms.
  3. Distribute Electrons: Each S–F bond uses 2 electrons, leaving none unused. Sulfur now has 12 electrons in its valence shell.

Tip

When drawing Lewis structures for expanded octets, always prioritize satisfying the octet rule for peripheral atoms before expanding the central atom's octet.

Examples of expanded octets.
Examples of expanded octets.

Predicting Geometry Using the VSEPR Model

Once the Lewis structure is complete, the Valence Shell Electron Pair Repulsion (VSEPR)model helps us predict the molecule's geometry. The shape depends on the number of electron domains (bonding pairs and lone pairs) around the central atom.

Five Electron Domains: Trigonal Bipyramidal Geometry

When a molecule has five electron domains, they arrange themselves in a trigonal bipyramidal geometry to minimize repulsion. This geometry consists of:

  • Three equatorial bonds at 120Β° angles in the same plane.
  • Two axial bonds at 90Β° angles to the equatorial plane.

Molecular Geometries for Five Domains:

  1. Trigonal Bipyramidal: All five domains are bonding (e.g., PFβ‚…).
  2. Seesaw: Four bonding domains and one lone pair (e.g., SFβ‚„).
  3. T-shaped: Three bonding domains and two lone pairs (e.g., ClF₃).
  4. Linear: Two bonding domains and three lone pairs (e.g., I₃⁻).
Molecular geometries with five electron domains.
Molecular geometries with five electron domains.

Six Electron Domains: Octahedral Geometry

When a molecule has six electron domains, they adopt an octahedral geometry with 90Β° angles between all domains.

Molecular Geometries for Six Domains:

  1. Octahedral: All six domains are bonding (e.g., SF₆).
  2. Square Pyramidal: Five bonding domains and one lone pair (e.g., BrFβ‚…).
  3. Square Planar: Four bonding domains and two lone pairs (e.g., XeFβ‚„).
Molecular geometries for six electron domains.
Molecular geometries for six electron domains.

Common Mistake

Do not confuse electron domain geometry (which includes all electron pairs) with molecular geometry (which considers only bonding pairs).

Applications and Implications

The ability to expand the octet has far-reaching implications in chemistry:

  1. Stability of Complex Molecules: Expanded octets allow the formation of stable molecules like SF₆ and PFβ‚…, used in industrial applications (e.g., SF₆ as an electrical insulator).
  2. Biological Relevance: Phosphorus and sulfur compounds with expanded octets are essential in biological molecules like DNA and proteins.
  3. Environmental Concerns: Molecules like SF₆ are potent greenhouse gases with long atmospheric lifetimes, contributing to climate change.

Reflection

Self review

Can you draw the Lewis structure of BrFβ‚… and predict its molecular geometry using the VSEPR model?

Theory of Knowledge

  • How does the concept of expanded octets challenge the simplicity of the octet rule?
  • To what extent do models like VSEPR simplify the complexity of molecular structures?

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Questions

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Question 1

Which of the following molecules is an example of an expanded octet?

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Why can Period 3 elements expand their octet?

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Note

Introduction to Expanded Octets

  • Some atoms can hold more than eight electrons in their valence shell, a phenomenon known as expanded octets.
  • This occurs in certain elements and is an exception to the traditional octet rule.
  • Think of it like a backpack with extra compartments that can hold more items than usual.

Definition

Expanded Octet

A condition where an atom holds more than eight electrons in its valence shell, typically observed in elements from Period 3 onwards.

Analogy

Imagine a parking lot designed for eight cars, but with hidden spaces that can accommodate more vehicles when needed.

Example

Phosphorus in PF5\text{PF}_5 holds 10 electrons in its valence shell, exceeding the usual octet.

Note

Not all atoms can expand their octet; this ability is limited to specific elements.